In one-dimension simulation, the approach taken is a hybrid model where the ions are treated as distinct particles in one-dimension while the electron beam is treated using the beam envelope equation.
在一维模拟中，采用混合模型研究离子噪声，用包络方程描述电子束的，用离散的宏粒子模型描述离子。
This paper uses the method of establishing the convex envelope, giving a proof in Partial Differential Equation.
本文利用构造凸包络的方法，给出了该定理偏微分上的证明。
In 1985, prove Theorem 1.1 from the point of Brown Motion. This paper USES the method of establishing the convex envelope, giving a proof in Partial Differential Equation.
在1985年从布朗运动的角度证明了定理1.1，本文利用构造凸包络的方法，给出了该定理偏微分上的证明。
The paper discussed the sectionalization, the method for finding equation and the drawing of the envelope graph of bending moments of the simple crane girder under the action of crane loads.
论述了在吊车荷载作用下的简支吊车梁的弯矩包络图的分段、方程求法，最后通过实例说明包络图的绘制。
In this paper, some counter examples to the conclusions of singular solution and envelope in two textbooks of ordinary differential equation are given.
给出了两种常微分方程教材中关于奇解与包络关系结论的反例。
This paper discussed an elementary solution to the envelope of a kind of family of curves of which the equation was one of the cubic equations in regard to a parameter.
本文论述曲线族的方程为关于参数的三次方程时，其包络曲线方程的初等求法。
This paper discussed an elementary solution to the envelope of a kind of family of curves of which the equation was one of the cubic equations in regard to a parameter.
本文论述曲线族的方程为关于参数的三次方程时，其包络曲线方程的初等求法。
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